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200226936 = 23373131871
BaseRepresentation
bin10111110111100…
…11100001111000
3111221202120201110
423323303201320
5402224230221
631511320320
74650621000
oct1373634170
9457676643
10200226936
11a3028508
12570800a0
13326366a0
141c841000
15128a1776
hexbef3878

200226936 has 128 divisors (see below), whose sum is σ = 628992000. Its totient is φ = 52778880.

The previous prime is 200226931. The next prime is 200226941. The reversal of 200226936 is 639622002.

It is an interprime number because it is at equal distance from previous prime (200226931) and next prime (200226941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200226931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106081 + ... + 107951.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2200226936 is an apocalyptic number.

200226936 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200226936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314496000).

200226936 is an abundant number, since it is smaller than the sum of its proper divisors (428765064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200226936 is a wasteful number, since it uses less digits than its factorization.

200226936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 200226936 is about 14150.1567482484. The cubic root of 200226936 is about 585.0246523324.

Adding to 200226936 its reverse (639622002), we get a palindrome (839848938).

The spelling of 200226936 in words is "two hundred million, two hundred twenty-six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 343 364 392 546 588 637 686 728 1029 1092 1176 1274 1372 1871 1911 2058 2184 2548 2744 3742 3822 4116 4459 5096 5613 7484 7644 8232 8918 11226 13097 13377 14968 15288 17836 22452 24323 26194 26754 35672 39291 44904 48646 52388 53508 72969 78582 91679 97292 104776 107016 145938 157164 170261 183358 194584 275037 291876 314328 340522 366716 510783 550074 583752 641753 681044 733432 1021566 1100148 1191827 1283506 1362088 1925259 2043132 2200296 2383654 2567012 3575481 3850518 4086264 4767308 5134024 7150962 7701036 8342789 9534616 14301924 15402072 16685578 25028367 28603848 33371156 50056734 66742312 100113468 200226936